105061056061 has 16 divisors (see below), whose sum is σ = 113532980400. Its totient is φ = 96645427200.

The previous prime is 105061056053. The next prime is 105061056097. The reversal of 105061056061 is 160650160501.

It can be written as a sum of positive squares in 8 ways, for example, as 28931968836 + 76129087225 = 170094^2 + 275915^2 .

It is a cyclic number.

It is not a de Polignac number, because 105061056061 - 2³ = 105061056053 is a prime.

It is a super-2 number, since 2×105061056061² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061056361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4968411 + ... + 4989511.

It is an arithmetic number, because the mean of its divisors is an integer number (7095811275).

Almost surely, 2^105061056061 is an apocalyptic number.

It is an amenable number.

105061056061 is a deficient number, since it is larger than the sum of its proper divisors (8471924339).

105061056061 is a wasteful number, since it uses less digits than its factorization.

105061056061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22416.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105061056061 in words is "one hundred five billion, sixty-one million, fifty-six thousand, sixty-one".